In this article, we will learn about the factors of 1 and how to do prime factorization of 1 with examples.

In Mathematics, factors refer to dividing a given number evenly and the remainder to be 0. As we know-

1 is neither a prime number nor a composite number. In fact, it is the only which is the factor of all the numbers.

## What are the factors of 1? When we talk about the “factors of 1,” we refer to the fact that 1 is a unique number with a distinct relationship with all other numbers.

So, the factor of 1 is 1 itself.

It’s the only number that has only 1 factor which is itself.

Prime Factorization of 1: The number 1 doesn’t have any prime factor.

Factors of 1: 1 (itself)

## How to find the factors of 1 or Prime factorization of 1?

As we have studied above, 1 is a factor in itself.

Hence, there are no more factors that we can find or calculate.

A Few essential properties to understand the factor of 1 :

1. Identity Property

The “Factor of 1” is closely related to the identity property in mathematics. In multiplication, the identity property states that any number multiplied by 1 equals itself.

For example:

• 5 x 1 = 5
• 100 x 1 = 100
• π x 1 = π

In each case, multiplying by 1 doesn’t change the value of the original number, highlighting the importance of the “Factor of 1” as an identity element.

1. Division

In division, the “Factor of 1” plays a significant role as well. Any number divided by 1 equals itself:

• 10 ÷ 1 = 10
• 50 ÷ 1 = 50
• 7 ÷ 1 = 7

This demonstrates the principle that dividing by 1 doesn’t alter the value of the numerator.

1. Factor in Pair

In Pair, the “factor of 1 “ is important as the product of 1 and 1 obtains 1.

which means  1 x 1=1 (factors in Pair)

### Key Points to keep in mind for Factors of 1

• 1 is the factor of itself
• Also, 1 is the factor of all the numbers
• In multiplication, the identity property states that any number multiplied by 1 equals itself.
• Any number divided by 1 equals itself ## Factors of 1 FAQ’s

### Is 1 a factor of every number?

Yes, 1 is a factor of all the numbers.

### Is 1 a prime factor?

No, it is not a prime number to be a prime factor.

### What is the sum of the factor of 1?

The sum of the factor of 1 is always 1 as its factor is 1 itself.